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Simplifying 8(-1a + -1) = -4(7a + -3) Reorder the terms: 8(-1 + -1a) = -4(7a + -3) (-1 * 8 + -1a * 8) = -4(7a + -3) (-8 + -8a) = -4(7a + -3) Reorder the terms: -8 + -8a = -4(-3 + 7a) -8 + -8a = (-3 * -4 + 7a * -4) -8 + -8a = (12 + -28a) Solving -8 + -8a = 12 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. -8 + -8a + 28a = 12 + -28a + 28a Combine like terms: -8a + 28a = 20a -8 + 20a = 12 + -28a + 28a Combine like terms: -28a + 28a = 0 -8 + 20a = 12 + 0 -8 + 20a = 12 Add '8' to each side of the equation. -8 + 8 + 20a = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 20a = 12 + 8 20a = 12 + 8 Combine like terms: 12 + 8 = 20 20a = 20 Divide each side by '20'. a = 1 Simplifying a = 1
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